If you don't want to use Chrome and MetaMask, you can still use Cryptomagz Dex.
EtherDelta will store your address and private key in the browser. Your address and private key will not be stored on or sent to a server.
This guide will explain how to get started.
Open your browser and go to Cryptomagz Dex
If you have MetaMask or Parity running, go to Window -> Extensions and disable them. Then refresh Cryptomagz Dex
If you already have an Ethereum account, go to the account dropdown (upper right) and choose "Import account." Enter your address and private key. If you enter your private key incorrectly, you will get an error.
If you need a new Ethereum account, go to the account dropdown (upper right) and choose "New account." Write down the private key that has been generated for you and store it somewhere safe and secure.